Computation of Reachable Sets Guaranteed Bounds

A.N. Rogalyov (Russia)


Guaranteed bounds, symbolical formula, reachable sets


In many problems the object control is identified and implemented under a priori uncertainty of external perturbations as well as uncertainty of the current object state. This article describes the guaranteed methods for computing the guaranteed bounds of all possible phase states of control system, taking into account all the ef fects. These quantitative estimates are the upper and lower bounds of reachable sets. The article describes examples of reachable sets inclusions computation.

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